Logical Reasoning Test Worksheet

Logical reasoning lesson 30: Final challenge: mixed reasoning · Set 575 · 40 questions

How to think it through (Type, method, check): Name the type of question. Use that lesson’s method — draw it if you can. Check the answer against every clue before you move on.

1. 1.Meera, Rohan and Siddharth each have a bag of a different colour: green, yellow or red. Siddharth’s bag is not green. Meera’s bag is not yellow. Siddharth’s bag is not yellow. What colour is Siddharth’s bag? (a) green (b) yellow (c) red
2. 2.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
3. 3.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel does not get a gold star. What can you say about “Neel scores above 90”? (a) must be true (b) must be false (c) can't tell
4. 4.Three friends (Karan, Myra and Rohan) sit in a row. Left and right are as you look at them. Rohan sits at the left end. Karan sits next to both Rohan and Myra. Who sits just to the right of Karan? (a) Karan (b) Myra (c) Rohan
5. 5.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
6. 6.Which capital letter looks exactly the same in a mirror? (a) D (b) L (c) B (d) M
7. 7.Statements: No rings are books. No caps are rings. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
8. 8.Which number is the odd one out: 57, 13, 53, 37? (a) 57 (b) 13 (c) 53 (d) 37
9. 9.Aarav is a boy. How is Aarav’s sister’s son related to Aarav? (a) brother (b) cousin (c) son (d) nephew
10. 10.Find the missing number. The same rule works in every row or in every column.
    5 | 3 | ?
    3 | 13 | 18
    8 | 16 | 27
11. 11.Which number is the odd one out: 59, 64, 53, 29? (a) 59 (b) 64 (c) 53 (d) 29
12. 12.Vivaan is a boy. How is Vivaan’s father’s sister related to Vivaan? (a) mother (b) aunt (c) cousin (d) sister
13. 13.In a group of 33 children, 21 play cricket, 17 play football and 12 play both. How many play neither of the two?
14. 14.A number machine multiplies a number by 3 and then adds 1. Each output goes back in as the next input. Start with 9. What comes out after step 3?
15. 15.On a standard dice, opposite faces add up to 7. The dice shows 6 on top. What number is on the bottom face?
16. 16.In a group of 26 children, 9 play cricket, 9 play football and 5 play both. How many play only cricket?
17. 17.A machine arranges numbers step by step. In each step it takes the biggest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 96 24 22 14 62 71. After step 3, what is the 2nd number from the left?
18. 18.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 50 21 12 22 19 44. After step 3, what is the 1st number from the left?
19. 19.Is 2036 a leap year? (a) Yes (b) No
20. 20.Arjun runs slower than Karan. Priya runs faster than Karan. Arjun runs faster than Meera. Who runs the second fastest? (a) Priya (b) Arjun (c) Karan (d) Meera
21. 21.In a group of 24 children, 11 like mangoes, 10 like bananas and 4 like both. How many like only bananas?
22. 22.Neel walks 15 m South, turns right and walks 8 m, then turns right again and walks 9 m. How far is he from the starting point now, in a straight line (in m)?
23. 23.Runs scored in a cricket match: Ananya 41, Kabir 28, Aisha 52, Vivaan 58, Nisha 5. What is the difference between the highest and the lowest?
24. 24.A number machine multiplies a number by 3 and then adds 5. Each output goes back in as the next input. Start with 3. What comes out after step 3?
25. 25.Arjun is taller than Kabir. Kabir is taller than Priya. Who is the shortest? (a) Kabir (b) Priya (c) Arjun
26. 26.Vivaan runs slower than Kabir. Vivaan runs faster than Zoya. Kabir runs slower than Neel. Who runs the second fastest? (a) Kabir (b) Vivaan (c) Zoya (d) Neel
27. 27.Kites flown at Makar Sankranti: Riya 15, Sneha 8, Saanvi 9, Diya 7, Omkar 4. Who has the most kites? (a) Sneha (b) Riya (c) Omkar (d) Saanvi
28. 28.Is 2044 a leap year? (a) Yes (b) No
29. 29.Which number is the odd one out: 15, 53, 3, 13? (a) 15 (b) 53 (c) 3 (d) 13
30. 30.Each person always tells the truth or always lies. Myra says: “Isha and I are the same kind.” Isha says: “Myra and I both tell the truth.” Is Myra a truth-teller or a liar? (a) truth-teller (b) liar
31. 31.The sum of three consecutive numbers is 183. What is the largest of them?
32. 32.A machine arranges numbers step by step. In each step it takes the smallest number not yet arranged and moves it to the left, just after the numbers already arranged; the others keep their order. Input: 73 14 89 50 95 46. After step 3, what is the 6th number from the left?
33. 33.If + means ×, − means +, × means ÷ and ÷ means −, what is 16 + 9 − 13 ÷ 6?
34. 34.Which capital letter does NOT look the same in a mirror? (a) A (b) Y (c) C (d) W
35. 35.Statements: Some pens are rings. Some coins are pens. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
36. 36.A clock shows 3:04. What time will it show 10 minutes later? (a) 3:04 (b) 3:24 (c) 4:14 (d) 3:14
37. 37.A wooden cube is painted on all six faces, then each edge is cut into 5 equal parts, making small cubes. How many small cubes have exactly three painted faces?
38. 38.In a group of 40 children, 12 enjoy drawing, 23 enjoy dancing and 9 enjoy both. How many enjoy only dancing?
39. 39.In a group of 40 grown-ups, 17 drink tea, 17 drink coffee and 9 drink both. How many drink only tea?
40. 40.Isha is a girl. How is Isha’s mother’s mother related to Isha? (a) mother (b) aunt (c) sister (d) grandmother

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